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Finding the Third Proportional to 150,858 and 207,808

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Solution

The third proportional to 150,858 and 207,808 is: 286,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858 : 207,808 = 207,808 : x
  2. Step 2: Convert to fraction form
    150,858/207,808 = 207,808/x
  3. Step 3: Cross multiply
    150,858x = 207,808 × 207,808
  4. Step 4: Simplify right side
    150,858x = 43,184,164,864
  5. Step 5: Solve for x
    x = 43,184,164,864/150,858
  6. Step 6: Final answer
    x = 286,257.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.